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denis-greek [22]
3 years ago
15

Please answer This Just Try Don't skip​

Mathematics
2 answers:
Sav [38]3 years ago
7 0
(i)
Area of rectangle = length * breadth
So,
x^2 - 12x + 35 = (x - 5) * breadth

Factorize area and divide by length to simplify.
=> {(x-5)(x-7)} / (x-5) = breadth
=> x-7 = breadth

Therefore, breadth = 7

(ii)
Length = 10 - 5 = 5m
Breadth = 10 - 7 = 3m
Area = 10^2 - 12(10) + 35 = 15sq.m
attashe74 [19]3 years ago
4 0

Answer:

5 m , 3 m , 15 m²

Step-by-step explanation:

Given area (A) = x² - 12x + 35 and A = length × breadth , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

We know length = x - 5 , then breadth = x - 7

When x = 10

length = x - 5 = 10 - 5 = 5 m and breadth = x - 7 = 10 - 7 = 3 m

A = 10² - 12(10) + 35 = 100 - 120 + 35 = 15 m²

or

A = length × breadth = 5 × 3 = 15 m²

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The following data show the scores of some students in a competition:
Dima020 [189]

The box plot that represents the data is a box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.(second option)

<h3>Which box plot represents the data?</h3>

A box plot is used to study the distribution and level of a set of scores. The whiskers represent the minimum and maximum values.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. 75% of the scores represents the upper quartile.

The data arranged in ascending order : 11, 13, 23, 24, 24, 27, 31

Median = 24

First quartile = 1/4 x (7 + 1) = 2nd term =13

Third quartile = 3/4 x (7 + 1) = 6th term = 27

To learn more about box plots, please check: brainly.com/question/27215146

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6 0
2 years ago
Well's College in New York was previously an all girls school. In 2005, the college began to allow boys to enroll. By 2012, the
kogti [31]

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

7 0
2 years ago
Round to the place of the underlined digit. 340,790 The rounded value of the whole number from the underlined digit is 4th grade
uranmaximum [27]

Answer:300,000

Step-by-step explanation: if the 4 was a 5 or higher then the answer would’ve been 400,00 but since the number next to the underlined digit is 4 then it goes to 300,00. (4 or below leave it alone 5 or above give it a shove)

7 0
3 years ago
Read 2 more answers
A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point
valina [46]
<h3>Answer:  0.061</h3>

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

---------------------

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

5 0
2 years ago
3. 1/2 + 1 1/3 Please answer quick!!!!!!!!!!!!!!!!!! Step by step explanation with answer!
Law Incorporation [45]

Answer: 1/2+11/3 = 4.1*6

Step-by-step explanation:

8 0
3 years ago
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